Results 301 to 310 of about 12,348,205 (356)
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2014
By now we know Euler’s number \(\mathrm{e} =\mathrm{ e}^{1}\) quite well. In this chapter we define the exponential function \(\mathrm{e}^{x}\) for any x ∈ R, and its inverse the natural logarithmic function ln(x), for x > 0. (In the first section of the chapter we take a concise approach to the exponential function; in the second section we do things ...
P. R. Mercer
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By now we know Euler’s number \(\mathrm{e} =\mathrm{ e}^{1}\) quite well. In this chapter we define the exponential function \(\mathrm{e}^{x}\) for any x ∈ R, and its inverse the natural logarithmic function ln(x), for x > 0. (In the first section of the chapter we take a concise approach to the exponential function; in the second section we do things ...
P. R. Mercer
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Exponential Function Computation Based on DNA Strand Displacement Circuits
IEEE Transactions on Biomedical Circuits and Systems, 2022Due to its high programmability and storage, DNA circuits have been widely used in biological computing. In this paper, the addition, subtraction, multiplication, division, n-order and 1/n-order gates are built through DNA strand displacement reactions ...
Yanfeng Wang +3 more
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Mathematical methods in the applied sciences, 2020
This work suggested a new generalized fractional derivative which is producing different kinds of singular and nonsingular fractional derivatives based on different types of kernels.
Sunil Kumar +4 more
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This work suggested a new generalized fractional derivative which is producing different kinds of singular and nonsingular fractional derivatives based on different types of kernels.
Sunil Kumar +4 more
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A Characterization of the Exponential Function
Journal of the London Mathematical Society, 1986Let E be the class of all entire functions \(f(t)=\sum^{\infty}_{k=0}a_ kt^ k\) with \(a_ 0=1\), \(a_ k>0\) for \(k=1,2,3,...\), and \(\int^{\infty}_{0}t^ k(f(t))^{-1}dt=1/a_ k, k=0,1,2,... \). A conjecture of Renyi and Vincze is verified by proving the exponential function \(f(t)=e^ t\) is the only member of E.
Miles, Joseph, Williamson, Jack
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IEEE transactions on industrial electronics (1982. Print)
Sliding mode control is widely used to enhance the speed control performance of permanent magnet synchronous motors (PMSM). However, the slow reaching onto the sliding surface and chatting phenomena of conventional sliding mode reaching law (SMRL) is ...
Zhang Zhang +5 more
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Sliding mode control is widely used to enhance the speed control performance of permanent magnet synchronous motors (PMSM). However, the slow reaching onto the sliding surface and chatting phenomena of conventional sliding mode reaching law (SMRL) is ...
Zhang Zhang +5 more
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SECO: A Scalable Accuracy Approximate Exponential Function Via Cross-Layer Optimization
International Symposium on Low Power Electronics and Design, 2019From signal processing to emerging deep neural networks, a range of applications exhibit intrinsic error resilience. For such applications, approximate computing opens up new possibilities for energy-efficient computing by producing slightly inaccurate ...
Di Wu +6 more
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Communications in Statistics - Theory and Methods, 2019
In this article, we propose families of estimators using the exponential function for the population mean in the case of non-response under two different cases.
Ceren Ünal, Cem Kadılar
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In this article, we propose families of estimators using the exponential function for the population mean in the case of non-response under two different cases.
Ceren Ünal, Cem Kadılar
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Journal of difference equations and applications (Print), 2018
This paper proposes iterative learning control (ILC) for linear discrete delay systems with randomly varying trial lengths without knowing prior information on the probability distribution of random iteration length.
Chengbin Liang, Jinrong Wang, D. Shen
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This paper proposes iterative learning control (ILC) for linear discrete delay systems with randomly varying trial lengths without knowing prior information on the probability distribution of random iteration length.
Chengbin Liang, Jinrong Wang, D. Shen
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On the Exponential Inequalities and the Exponential Function
The Mathematical Gazette, 1907Theorem. If a he any positive quantity not equal to 1, and x, y, z be any three rational quantities in descending order of magnitude ...
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The American Mathematical Monthly, 1975
(1975). On the Exponential Function. The American Mathematical Monthly: Vol. 82, No. 8, pp. 842-844.
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(1975). On the Exponential Function. The American Mathematical Monthly: Vol. 82, No. 8, pp. 842-844.
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